The Electromagnetic Spectrum
- The electromagnetic spectrum (em) is a collection of waves that share the following properties:
- They are all transverse
- They can all travel through a vacuum
- They all travel at the same speed in a vacuum
- They all transfer energy
- There are 7 types of electromagnetic waves, which all together form a continuous spectrum
- The electromagnetic spectrum is arranged in a specific order based on the wavelengths or frequencies
The Electromagnetic Spectrum from Longest Wavelength to Shortest Wavelength
Visible light is just one small part of a much bigger spectrum: The electromagnetic spectrum
- The relationship between frequency and wavelength of waves across the electromagnetic spectrum is
- The higher the frequency, the shorter the wavelength
- The lower the frequency, the longer the wavelength
- This means that radio waves have a lower frequency, and a longer wavelength than UV waves
- This can be seen from the wave equation
- Where:
- = speed of the wave in metres per second (m/s)
- = frequency of the wave in hertz (Hz)
- = wavelength of the wave in metres (m)
- Since all electromagnetic waves travel at the speed of light in a vacuum, this is constant
- Therefore, in the equation, in keeping v constant, if f increases then λ must decrease
Relationship Between Wavelength and Frequency
The larger the wavelength, the lower the frequency. The speed remains the same
- The higher the frequency, the higher the energy of the wave
- Waves with higher energy are:
- Highly ionising
- Harmful to cells and tissues causing cancer (e.g. UV, X-rays, Gamma rays)
- For more information, see our revision note on Radiation
- Waves with lower energy are:
- Useful for communications and they are used to transmit information, for example:
- Radio waves are used in long-range communications, such as for radio and television
- Microwaves are used in mobile phones and satellite communications as they can penetrate the Earth's surface
- Infra-red waves and visible light are used in optical fibres as they can undergo total internal reflection
- Less harmful to humans
- Useful for communications and they are used to transmit information, for example:
Worked example
One region of the electromagnetic spectrum has wavelengths in the range 110-11 to 110-9 m. The wave speed of electromagnetic waves is 3108 m/s.
Calculate the maximum frequency of this region of the electromagnetic spectrum.
Answer:
Step 1: Deduce the wavelength which would have the maximum frequency within this range
- The maximum frequency will have the shortest wavelength
- The shortest wavelength in this region is 110-11 m
Step 2: List the known quantities
- Wavelength, = 110-11 m
- Wave speed = 3108 m/s
Step 3: Write out the equation relating wave speed, frequency and wavelength
Step 4: Rearrange for frequency and calculate the answer
Examiner Tip
Foundation Tier students would be provided with the rearranged equation but Higher Tier students would be expected to rearrange this.
If you are not quite sure which wavelength would give the maximum frequency, you could calculate the frequency for both the shortest and longest wavelength to see which one gives the maximum value.